With the method I used it can rotate in any direction and also tilt up and down. So you could simulate the perspective in the shot you mention.
Essentially you only have a half Death Star though, which is why it can’t turn very far in a single shot. Perhaps pictures from different angles could be combined to allow a bigger range of motion, if needed.
I assume the Death Star can turn itself in any direction for aiming, so that could be shown as well. But changing direction would likely be very slow, so perhaps it would need to be shown through a series of shots to not drag down the tempo of the overall sequence.